Approximate bound state solutions of the deformed Woods-Saxon potential using asymptotic iteration method

TL;DR

This paper presents an approximate analytical method for solving the Schrödinger equation with a deformed Woods-Saxon potential, deriving energy levels and eigenfunctions using the asymptotic iteration method with Pekeris approximation.

Contribution

It introduces a novel application of the asymptotic iteration method combined with Pekeris approximation to obtain bound state solutions for the deformed Woods-Saxon potential.

Findings

Energy levels are explicitly calculated.

Normalized eigenfunctions are expressed in hypergeometric functions.

Method provides approximate solutions for nuclear potentials.

Abstract

By using the Pekeris approximation, the Schrodinger equation is approximately solved for the nuclear deformed Woods-Saxon potential within the framework of the asymptotic iteration method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric function.